대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제16권4호
  • /
  • Pages.649-658
  • /
  • 2001
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

FINSLER SPACES WITH CERTAIN ($\alpha$,$\beta$)-METRIC OF DOUGLAS TYPE

  • Park, Hong-Suh (Yeungmam University Department of Mathematics) ;
  • Lee, Yong-Duk (Yeungnam College of Science and Technology Department of Mathematics)
  • 발행 : 2001.10.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We shall find the condition for a Finsler space with a special ($\alpha$.$\beta$)-metric L($\alpha$.$\beta$) satisfying L$^2$ =2$\alpha$$\beta$ to be a Douglas space. The special Randers change of the above Finsler metric by $\beta$ is also studied.

키워드

참고문헌

  1. Kluwer Acad. The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology P.L. Antonelli;R.S. Ingarden;M. Matsumoto
  2. Publ. Math. Debrecen v.51 On the Finsler paces of Douglas type. A generalization of the notion of Berwald space S. Bacso;M. Matsumoto
  3. Tensor v.57 Landsberg spaces of dimension two with (α,β)-metric M. Hashiguchi;S. Hojo;M. Matsumoto
  4. Proceedings of the 27th Symp. on Finsler Geom. at Arima Finsler metric L²= 2αβ S. Hojo
  5. Tensor v.34 Projective changes of Finsler metric and projective flat Finsler space M. Matsumoto
  6. Foundations of Finsler Geometry and Special Finsler spaces
  7. Rep. on Math. Phys. v.31 Theory of Finsler spaces with (α,β)-metric
  8. N.S. v.59 Finsler spaes with (α,β)-metric of Douglas type, to apper in Tensor
  9. Tensor, N.S. v.56 On a Finsler spaes with a (α,β)-metric H.S. Park;E.S Choi
  10. Comm. of Korean Math. Soci. v.14 Finsler spaces with an approximate Matsumoto metric of Douglas type